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Greeley [361]
1 year ago
7

Solve For x and Solve For y:

Mathematics
1 answer:
Slav-nsk [51]1 year ago
5 0

Answer: y= 16.97 ×=7.27

Step-by-step explanation:

Click on file for workings

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Can someone please help me with this? I keep getting half of the answer and I'm doing everything right. ------------------------
serg [7]

9514 1404 393

Answer:

  a. x, x+2, x+4

  b. 10 ≤ 3x+6 ≤ 24

  c. 6 ft, 8 ft, or 10 ft

Step-by-step explanation:

<u>Given</u>:

  • The lengths of the sides of a certain triangle, in feet, are consecutive even integers.
  • The perimeter of this triangle is between 10 feet and 24 feet inclusive.

<u>Find</u>:

  a. Using one variable, write three expressions that represent the lengths of the three sides of the triangle.

  b. Write a compound inequality to model this problem.

  c. Solve the inequality. List all possible lengths for the longest side of the triangle.

<u>Solution</u>:

You have let x represent the shortest side. (Note that the question asks for the length of the longest side.)

a. The expressions for side lengths can be x, x+2, x+4 when x is the shortest side.

__

b. Here is the compound inequality

  10 ≤ x+(x+2)+(x+4) ≤ 24

__

c. Here is the solution

  10 ≤ 3x+6 ≤ 24 . . . . collect terms

  4 ≤ 3x ≤ 18 . . . . . . . subtract 6

  4/3 ≤ x ≤ 6 . . . . . . . . divide by 3

<em>Your working is correct, but incomplete</em>. The values of interest are the even integers x+4.

  5 1/3 ≤ x+4 ≤ 10

The longest side may be 6 ft, 8 ft, or 10 ft.

6 0
2 years ago
What is the area of this shape
Orlov [11]

Answer:

84m2

Step-by-step explanation:

5 0
3 years ago
Pablo simplified the expression (2 Superscript negative 4 Baseline) Superscript negative 2 as shown.
Lady_Fox [76]

Answer:

<h3>He should have found 8 as the exponent, not –8.</h3>

Step-by-step explanation:

Given the expression simplified by Pablo as (2^{-4})^{-2}

On simplification we have;

According to one of the law of indices (a^{m})^{n} = a^{mn}

Applying this law to the question will give;

(2^{-4})^{-2}\\=2^{-4*-2}  \\\= 2^{8}

Based on the calculation above, the exponent of 2 is 8 which means that Pablo should have found 8 as the exponent, not –8.

7 0
3 years ago
Please help me im stuck
Rudiy27

Answer:

41/100

Step-by-step explanation:

7 0
2 years ago
The sum of two numbers is 57 and the difference is 7. What are the numbers?
Andrej [43]

Answer:

32 and 25

Step-by-step explanation:

7 0
2 years ago
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